2132958240 has 864 divisors, whose sum is σ = 9366477120. Its totient is φ = 438939648.

The previous prime is 2132958239. The next prime is 2132958241. The reversal of 2132958240 is 428592312.

It is a happy number.

2132958240 is a `hidden beast` number, since 2 + 1 + 32 + 9 + 582 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2132958239) and next prime (2132958241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2132958195 and 2132958204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132958241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49603659 + ... + 49603701.

It is an arithmetic number, because the mean of its divisors is an integer number (10840830).

Almost surely, 2^2132958240 is an apocalyptic number.

2132958240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683238560).

2132958240 is an abundant number, since it is smaller than the sum of its proper divisors (7233518880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132958240 is a wasteful number, since it uses less digits than its factorization.

2132958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2132958240 is about 46183.9608522266. The cubic root of 2132958240 is about 1287.2437274203.

The spelling of 2132958240 in words is "two billion, one hundred thirty-two million, nine hundred fifty-eight thousand, two hundred forty".